{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "0a5da195",
   "metadata": {},
   "outputs": [],
   "source": [
    "import gym\n",
    "import torch\n",
    "import torch.nn.functional as F\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import sys \n",
    "sys.path.append(\"..\") \n",
    "import rl_utils as rl_utils"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "99e00ae8",
   "metadata": {},
   "outputs": [],
   "source": [
    "class PolicyNet(torch.nn.Module):\n",
    "    def __init__(self, state_dim, hidden_dim, action_dim):\n",
    "        super(PolicyNet, self).__init__()\n",
    "        self.fc1 = torch.nn.Linear(state_dim, hidden_dim)\n",
    "        self.fc2 = torch.nn.Linear(hidden_dim, action_dim)\n",
    "    \n",
    "    def forward(self, x):\n",
    "        x = F.relu(self.fc1(x))\n",
    "        return F.softmax(self.fc2(x), dim=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e244c868",
   "metadata": {},
   "outputs": [],
   "source": [
    "class ValueNet(torch.nn.Module):\n",
    "    def __init__(self, state_dim, hidden_dim):\n",
    "        super().__init__()\n",
    "        self.fc1 = torch.nn.Linear(state_dim, hidden_dim)\n",
    "        self.fc2 = torch.nn.Linear(hidden_dim, 1)\n",
    "    \n",
    "    def forward(self, x):\n",
    "        x = F.relu(self.fc1(x))\n",
    "        return self.fc2(x)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "2862b54c",
   "metadata": {},
   "outputs": [],
   "source": [
    "class ActorCritic:\n",
    "    def __init__(self, state_dim, hidden_dim, action_dim, actor_lr, critic_lr, gamma, device):\n",
    "        # 策略网络\n",
    "        self.actor = PolicyNet(state_dim, hidden_dim, action_dim).to(device)\n",
    "        # 价值网络\n",
    "        self.critic = ValueNet(state_dim, hidden_dim).to(device)\n",
    "        # 策略网络优化器\n",
    "        self.actor_optimizer = torch.optim.Adam(self.actor.parameters(), lr=actor_lr)\n",
    "        # 价值网络优化器\n",
    "        self.critic_optimizer = torch.optim.Adam(self.critic.parameters(), lr=critic_lr)\n",
    "        self.gamma = gamma\n",
    "        self.device = device\n",
    "\n",
    "    def take_action(self, state):\n",
    "        state = torch.tensor([state], dtype=torch.float).to(self.device)\n",
    "        probs = self.actor(state)\n",
    "        action_dist = torch.distributions.Categorical(probs)\n",
    "        action = action_dist.sample()\n",
    "        return action.item()\n",
    "    \n",
    "    def update(self, transition_dict):\n",
    "        states = torch.tensor(transition_dict['states'], dtype=torch.float).to(self.device)\n",
    "        actions = torch.tensor(transition_dict['actions']).view(-1, 1).to(self.device)\n",
    "        rewards = torch.tensor(transition_dict['rewards']).view(-1, 1).to(self.device)\n",
    "        next_states = torch.tensor(transition_dict['next_states'], dtype=torch.float).to(self.device)\n",
    "        dones = torch.tensor(transition_dict['dones'], dtype=torch.float).view(-1, 1).to(self.device)\n",
    "\n",
    "        # 时序差分目标\n",
    "        td_target = rewards + self.gamma * self.critic(next_states) * (1 - dones)\n",
    "        # 时序差分误差\n",
    "        td_delta = td_target - self.critic(states)\n",
    "        log_probs = torch.log(self.actor(states).gather(1, actions))\n",
    "        actor_loss = torch.mean(-log_probs * td_delta.detach())\n",
    "        critic_loss = torch.mean(F.mse_loss(self.critic(states), td_target.detach()))\n",
    "        self.actor_optimizer.zero_grad()\n",
    "        self.critic_optimizer.zero_grad()\n",
    "        # 计算策略网络的梯度\n",
    "        actor_loss.backward()\n",
    "        # 计算价值网络的梯度\n",
    "        critic_loss.backward()\n",
    "        # 更新策略网络的参数\n",
    "        self.actor_optimizer.step()\n",
    "        # 更新价值网络的参数\n",
    "        self.critic_optimizer.step()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "5fd1659b",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Iteration 0: 100%|██████████| 100/100 [00:01<00:00, 84.88it/s, episode=100, return=16.100]\n",
      "Iteration 1: 100%|██████████| 100/100 [00:01<00:00, 78.04it/s, episode=200, return=41.100]\n",
      "Iteration 2: 100%|██████████| 100/100 [00:01<00:00, 53.51it/s, episode=300, return=76.200]\n",
      "Iteration 3: 100%|██████████| 100/100 [00:03<00:00, 33.05it/s, episode=400, return=183.300]\n",
      "Iteration 4: 100%|██████████| 100/100 [00:06<00:00, 15.66it/s, episode=500, return=246.500]\n",
      "Iteration 5: 100%|██████████| 100/100 [00:08<00:00, 11.76it/s, episode=600, return=196.400]\n",
      "Iteration 6: 100%|██████████| 100/100 [00:11<00:00,  8.75it/s, episode=700, return=369.400]\n",
      "Iteration 7: 100%|██████████| 100/100 [00:12<00:00,  7.99it/s, episode=800, return=487.000]\n",
      "Iteration 8: 100%|██████████| 100/100 [00:14<00:00,  6.88it/s, episode=900, return=490.600]\n",
      "Iteration 9: 100%|██████████| 100/100 [00:13<00:00,  7.18it/s, episode=1000, return=500.000]\n"
     ]
    }
   ],
   "source": [
    "actor_lr = 1e-3\n",
    "critic_lr = 1e-2\n",
    "num_episodes = 1000\n",
    "hidden_dim = 128\n",
    "gamma = 0.98\n",
    "device = 'cpu'\n",
    "env_name = 'CartPole-v1'\n",
    "env = gym.make(env_name)\n",
    "env.reset(seed=0)\n",
    "state_dim = env.observation_space.shape[0]\n",
    "action_dim = env.action_space.n\n",
    "agent = ActorCritic(state_dim, hidden_dim, action_dim, actor_lr, critic_lr, gamma, device)\n",
    "return_list = rl_utils.train_on_policy_agent(env, agent, num_episodes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "4c9b0780",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "episodes_list = list(range(len(return_list)))\n",
    "plt.plot(episodes_list, return_list)\n",
    "plt.xlabel('Episodes')\n",
    "plt.ylabel('Returns')\n",
    "plt.title(f'Actor-Critic on {env_name}')\n",
    "plt.show()\n",
    "\n",
    "mv_return = rl_utils.moving_average(return_list, 9)\n",
    "plt.plot(episodes_list, mv_return)\n",
    "plt.xlabel('Episodes')\n",
    "plt.ylabel('Returns')\n",
    "plt.title(f'Actor-Critic on {env_name}')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
